In this section, the full framework proposed in section  is employed for six different PEH designs. The materials of the devices are PZT5A and bronze [1]}, where the remaining parameters are tabulated in Table REF . The devices share the same geometric parameters, except for the length \(L\) . In particular, the device's lengths \(L\)  are 5, 10, 15, 20, 25, 30 cm. Other important considerations for the PEH model is that the external electrical resistance is considered to be \(R_l\)  = 100 ohm, and the damping coefficients are considered to be \(\alpha \)  = 14.65 rad/s and \(\beta = 10^{-5}\)  rad/s [1]}.
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